3644160000 has 480 divisors, whose sum is σ = 13253320080. Its totient is φ = 884736000.

The previous prime is 3644159999. The next prime is 3644160017. The reversal of 3644160000 is 614463.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49919964 + ... + 49920036.

Almost surely, 2^3644160000 is an apocalyptic number.

3644160000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626660040).

3644160000 is an abundant number, since it is smaller than the sum of its proper divisors (9609160080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3644160000 is an equidigital number, since it uses as much as digits as its factorization.

3644160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3644160000 is about 60366.8783357231. The cubic root of 3644160000 is about 1538.8601223672.

Adding to 3644160000 its reverse (614463), we get a palindrome (3644774463).

The spelling of 3644160000 in words is "three billion, six hundred forty-four million, one hundred sixty thousand".